Cohomogeneity one manifolds and hypersurfaces of the euclidean space

1995 ◽  
Vol 13 (2) ◽  
pp. 169-184 ◽  
Author(s):  
Fabio Podest� ◽  
Andrea Spiro
2016 ◽  
Vol 106 ◽  
pp. 305-313 ◽  
Author(s):  
S. Montaldo ◽  
C. Oniciuc ◽  
A. Ratto

Author(s):  
L. VERDIANI ◽  
W. ZILLER

Abstract We present an efficient method for determining the conditions that a metric on a cohomogeneity one manifold, defined in terms of functions on the regular part, needs to satisfy in order to extend smoothly to the singular orbit.


Author(s):  
Matthias Wink

Abstract In this paper, a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the setups of Lü–Page–Pope [ 24] and Dancer–Wang [ 17]. It also provides a different approach to the two summands system [ 30] that applies to all known geometric examples.


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